Norm Attaining Arens Extensions on ℓ1
| Autor: | Javier Falcó, Domingo García, Manuel Maestre, Pilar Rueda |
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| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Abstract and Applied Analysis, Vol 2014 (2014) |
| Druh dokumentu: | article |
| ISSN: | 1085-3375 1687-0409 |
| DOI: | 10.1155/2014/315641 |
| Popis: | We study norm attaining properties of the Arens extensions of multilinear forms defined on Banach spaces. Among other related results, we construct a multilinear form on ℓ1 with the property that only some fixed Arens extensions determined a priori attain their norms. We also study when multilinear forms can be approximated by ones with the property that only some of their Arens extensions attain their norms. |
| Databáze: | Directory of Open Access Journals |
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